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Finding the Fourth Proportional to 605.23, 829.40 and 546.91

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Solution

The fourth proportional to 605.23, 829.40 and 546.91 is: 749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.23 : 829.40 = 546.91 : x
  2. Step 2: Convert to fraction form
    605.23/829.40 = 546.91/x
  3. Step 3: Cross multiply
    605.23x = 829.40 × 546.91
  4. Step 4: Simplify right side
    605.23x = 453,607.15
  5. Step 5: Solve for x
    x = 453,607.15/605.23
  6. Step 6: Final answer
    x = 749.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.